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To solve this problem, we need to use the slope-intercept form of a line equation, which is given by:

\[
y = mx + b
\]

Where:
- \( m \) is the slope of the line, and
- \( b \) is the y-intercept.

### Step 1: Substitute the given values
The problem states that the slope \( m = -5 \) and the y-intercept \( b = 9 \).

So, the equation of the line becomes:
\[
y = -5x + 9
\]

### Step 2: Convert to standard form
The standard form of a line is:
\[
Ax + By = C
\]
Where \( A \), \( B \), and \( C \) are integers, and typically \( A \) is positive.

Rearrange the equation \( y = -5x + 9 \) into standard form:
\[
5x + y = 9
\]

### Step 3: Check the options
Among the given options:
- The correct equation in standard form is \( 5x + y = 9 \).

Thus, the correct answer is the second option: \( 5x + y = 9 \).

Would you like a deeper explanation of the steps or more practice? Here are 5 related questions:

1. How do you convert a line from point-slope form to standard form?
2. What is the slope-intercept form of a line with a slope of 2 and a y-intercept of -4?
3. How can you determine if two lines are parallel given their equations?
4. If the slope of a line is 0, what is the equation of the line?
5. How do you find the slope of a line given two points on the line?

**Tip:** To find the equation of a line, always start by determining the slope and y-intercept, and then use the appropriate form (slope-intercept or standard) based on what is required!

A line has a slope of -5 and a y-intercept of 9. What is the equation of the line in standard form?

Find the equation of a line with a slope of -5 and a y-intercept of 9 in standard form. Learn how to convert the slope-intercept form (y = -5x + 9) to standard form (5x + y = 9) with a detailed step-by-step solution. Suitable for students in Grades 8-10.

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